Volume of a Prism
This lesson can be used for revision for the higher Maths GCSE. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations.
How to calculate the volume of a prism
Volume of prism = area of cross section × length
Example 1: The diagram shows a cuboid.
All the measurements are in cm.
The volume of the cuboid is 51 cm3.
Show that 2x2 - 4x - 51 = 0 for x≥ 2.
Example 2: A cuboid has a square base of side x cm.
The height of the cuboid is (x + 4)cm.
The volume of the cuboid is 150 cm3.
Show that x3 + 4x2 = 150
Example 3: Work out the volume of the triangular prism.
Example 4: The prism is made from metal.
The density of the metal is 6.6 grams per cm3.
Calculate the mass of the prism.
Example 5: Each flowerpot is in the shape of a cylinder of height 15 cm and radius 6 cm.
She has a 15 litre bag of compost.
She fills up each flowerpot completely.
How many flowerpots can she fill?
You must show your working.
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
Penguin Solitaire:
Move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).
Sawayama Solitaire:
This is similar to the common Klondike Solitaire except for a few changes to make it more strategic.
Check out more Solitaire games here.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.
